105672029760 has 672 divisors, whose sum is σ = 415000220544. Its totient is φ = 25592371200.

The previous prime is 105672029641. The next prime is 105672029761. The reversal of 105672029760 is 67920276501.

105672029760 is a `hidden beast` number, since 1 + 0 + 567 + 2 + 0 + 29 + 7 + 60 = 666.

It is a super-2 number, since 2×105672029760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672029761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103498050 + ... + 103499070.

It is an arithmetic number, because the mean of its divisors is an integer number (617559852).

Almost surely, 2^105672029760 is an apocalyptic number.

105672029760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105672029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207500110272).

105672029760 is an abundant number, since it is smaller than the sum of its proper divisors (309328190784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105672029760 is an equidigital number, since it uses as much as digits as its factorization.

105672029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 105672029760 in words is "one hundred five billion, six hundred seventy-two million, twenty-nine thousand, seven hundred sixty".